mathsurgery - Edexcel Module 2-8

|||| Unit 1 Module 1-13 of 17

Contents: Introduction to algebra	Time: 1 – 2 hours
SPECIFICATION REFERENCE
A a	Distinguish the different roles played by letter symbols in algebra
A b	Distinguish the meaning between the words ‘equation’, ‘formula’, ‘identity’ and ‘expression’
PRIOR KNOWLEDGE
Experience of using a letter to represent a number Word formulae or rules to describe everyday situations, eg time to cook a nut roast linked to weight of the nut roast Use symbols and notation correctly
OBJECTIVES Lesson plans
Distinguish the different roles played by letter symbols in algebra (2.3) Understand the meaning between the words ‘equation’, ‘formula’, ‘identity’ and ‘expression’ (2.3) Write an expression (2.3)
DIFFERENTIATION & EXTENSION
Extend the above ideas to the ‘equation’ of the straight line, y = mx + c Look at word equations written in symbolic form, eg F = 2C+ 30 to roughly convert temperature and compare with F= + 32
NOTES
There are plenty of past exam papers with matching tables testing knowledge of the ‘Vocabulary of Algebra’ (See Emporium website)

A1

Manipulating algebra

|||| Unit 2 Module 2-8 of 20

Contents: Introduction to algebra*	Time: 1 – 2 hours
SPECIFICATION REFERENCE
A a	Distinguish the different roles played by letter symbols in algebra
A b	Distinguish the meaning between the words ‘equation’, ‘formula’, ‘identity’ and ‘expression’
PRIOR KNOWLEDGE
Use notation and symbols correctly Experience of using a letter to represent a number Word formulae or rules to describe everyday situations, eg time to cook a nut roast linked to weight of nut roast
OBJECTIVES Lesson plans
Distinguish the different roles played by letter symbols in algebra (7.1) Understand the meaning between the words ‘equation’, ‘formula’, ‘identity’ and ‘expression’ (10.1) Write an expression (7.1)
DIFFERENTIATION & EXTENSION
Extend the above ideas to the ‘equation’ of the straight line, y = mx + c Look at word equations written in symbolic form, eg F = 2C + 30 to roughly convert temperature and compare with F = + 32
NOTES
There are plenty of old exam questions with matching tables testing knowledge of the ‘Vocabulary of Algebra’ (See Emporium website)

Manipulating algebra

A1

|||| Unit 2 Module 2-9 of 20

Contents: Algebraic manipulation	Time: 4 – 8 hours
SPECIFICATION REFERENCE
A c	Simplify terms, products and sums
A c	Multiply a single term over a bracket
A c	Take out common factors
A c	Expand the product of two linear expressions
A c	Factorise quadratic expressions
PRIOR KNOWLEDGE
Know that a letter can be used to represent a number Ability to use negative numbers with the four operations Experience of using BIDMAS in calculations without a calculator
OBJECTIVES Lesson plans
Simplify expressions with like terms, eg x2 + 3x2; 3ab + 5ab +2c2 (7.1) Expand and factorise expressions with one pair of brackets, eg expand x(2x + 3y); factorise 3xy2-6x2y (8.1, 8.2) Expand and simplify expressions involving more than one pair of brackets, eg 3(x + 4) – 2(x – 3);(2x + 3)(3x – 4) (8.3, 8.4) Factorise quadratic expression (including the difference of two squares) (8.4) Simplify algebraic fractions, eg (11.1)
DIFFERENTIATION & EXTENSION
Expand algebraic expressions involving three pairs of brackets Further examples in factorising quadratic expression with non-unitary values of a (including fractional values) Simplification of algebraic fractions which involve division, subtraction, multiplication and addition of fractions
NOTES
Emphasise correct use of symbolic notation, eg 3x2 rather than 3 ´ x2 Present all work neatly, writing out the questions with the answers to aid revision at a later stage Link the difference of two squares with the rationalisation of surds